A firm is expected to grow in perpetuity at a rate of 5%. If the current year free cash flow is 15 million, the cost of equity is 16%, after-tax cost of debt is 9% and the target debt to equity ratio is 0.25, then what is the value of this firm today if the tax rate is 20%?
Growth rate = 5%
FCF Current year = 15 Million
Debt to equity ratio = 0.25
Total capital = Debt + Equity
Debt = 0.25 * Equity
Total capital = 0.25 Equity + Equity
= 1.25 x Equity
Debt ratio = Debt / Total capital
= 0.25 / 1.25
= 20%
Equity ratio = 100% - 20% = 80%
Cost of equity = 16%
After tax cost of debt = 9%
WACC = Debt ratio * After tax cost of debt + Equity ratio * Cost of equity
= 0.20 * 0.09 + 0.80 * 0.16
= 14.60%
Value of the firm = Current FCF * (1 + Growth rate) / (WACC - Growth rate)
= 15000000 * (1 + 0.05) / (0.1460 - 0.05)
= 164062500
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